mirror of
https://github.com/henrydcase/nobs.git
synced 2024-11-22 23:28:57 +00:00
Kris Kwiatkowski
7efbbf4745
Implementation of Commutative Supersingular Isogeny Diffie Hellman, based on "A faster way to CSIDH" paper (2018/782). * For fast isogeny calculation, implementation converts a curve from Montgomery to Edwards. All calculations are done on Edwards curve and then converted back to Montgomery. * As multiplication in a field Fp511 is most expensive operation the implementation contains multiple multiplications. It has most performant, assembly implementation which uses BMI2 and ADOX/ADCX instructions for modern CPUs. It also contains slower implementation which will run on older CPUs * Benchmarks (Intel SkyLake): BenchmarkGeneratePrivate 6459 172213 ns/op 0 B/op 0 allocs/op BenchmarkGenerateKeyPair 25 45800356 ns/op 0 B/op 0 allocs/op BenchmarkValidate 297 3915983 ns/op 0 B/op 0 allocs/op BenchmarkValidateRandom 184683 6231 ns/op 0 B/op 0 allocs/op BenchmarkValidateGenerated 25 48481306 ns/op 0 B/op 0 allocs/op BenchmarkDerive 19 60928763 ns/op 0 B/op 0 allocs/op BenchmarkDeriveGenerated 8 137342421 ns/op 0 B/op 0 allocs/op BenchmarkXMul 2311 494267 ns/op 1 B/op 0 allocs/op BenchmarkXAdd 2396754 501 ns/op 0 B/op 0 allocs/op BenchmarkXDbl 2072690 571 ns/op 0 B/op 0 allocs/op BenchmarkIsom 78004 15171 ns/op 0 B/op 0 allocs/op BenchmarkFp512Sub 224635152 5.33 ns/op 0 B/op 0 allocs/op BenchmarkFp512Mul 246633255 4.90 ns/op 0 B/op 0 allocs/op BenchmarkCSwap 233228547 5.10 ns/op 0 B/op 0 allocs/op BenchmarkAddRdc 87348240 12.6 ns/op 0 B/op 0 allocs/op BenchmarkSubRdc 95112787 11.7 ns/op 0 B/op 0 allocs/op BenchmarkModExpRdc 25436 46878 ns/op 0 B/op 0 allocs/op BenchmarkMulBmiAsm 19527573 60.1 ns/op 0 B/op 0 allocs/op BenchmarkMulGeneric 7117650 164 ns/op 0 B/op 0 allocs/op * Go code has very similar performance when compared to C implementation. Results from sidh_torturer (4e2996e12d68364761064341cbe1d1b47efafe23) github.com:henrydcase/sidh-torture/csidh | TestName |Go | C | |------------------|----------|----------| |TestSharedSecret | 57.95774 | 57.91092 | |TestKeyGeneration | 62.23614 | 58.12980 | |TestSharedSecret | 55.28988 | 57.23132 | |TestKeyGeneration | 61.68745 | 58.66396 | |TestSharedSecret | 63.19408 | 58.64774 | |TestKeyGeneration | 62.34022 | 61.62539 | |TestSharedSecret | 62.85453 | 68.74503 | |TestKeyGeneration | 52.58518 | 58.40115 | |TestSharedSecret | 50.77081 | 61.91699 | |TestKeyGeneration | 59.91843 | 61.09266 | |TestSharedSecret | 59.97962 | 62.98151 | |TestKeyGeneration | 64.57525 | 56.22863 | |TestSharedSecret | 56.40521 | 55.77447 | |TestKeyGeneration | 67.85850 | 58.52604 | |TestSharedSecret | 60.54290 | 65.14052 | |TestKeyGeneration | 65.45766 | 58.42823 | On average Go implementation is 2% faster.
310 lines
19 KiB
Plaintext
310 lines
19 KiB
Plaintext
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"status": "invalid_shared_secret",
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{
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"Id": 17,
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"Pr1": "cfe5e5cb244b2cee05c01bf0522244ed50d3cfd4ee142de2ccbe5c1c4dc024e3cd250d41bf",
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"Pk2": "",
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"Ss": "",
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"status": "invalid_public_key1",
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"comment": ""
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},
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{
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"Id": 18,
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"Pk1": "f6d276b93ee1b8df1ecafd10e2e6740a2aaee2ce83c829ee848e0d4a0e02ce41873f49f8ee5e97e3256b97df74201e2116454bfa039f4035bc2443901949115d",
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"Pr1": "f0e02ce05cd1cfcf2f5dc2bb54d4c2d2534520f5d30e0fc51545b5ded555241211df3454d4",
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"Pk2": "",
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"Ss": "",
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"status": "invalid_public_key1",
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"comment": ""
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},
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{
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"Id": 19,
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"Pk1": "67d02ac51d0bd87105df92931a0259cb0050b23018b99dd626c27e07a6db67595e449f239ff36c90af7207bf9c6c807deaeafefbeb3149b1494f0d273bdca009",
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"Pr1": "5ebf1155d2cee131d3452f04bbdc4fed12df2012bbe5ec4e3be30cfdb32eef15e320502120",
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"Pk2": "",
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"Ss": "",
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"status": "invalid_public_key1",
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"comment": ""
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|
},
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{
|
|
"Id": 20,
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"Pr1": "5b02d5332c55ebed5ebce124bfd02db24c2252d13d133bd5d343f4b11d1f30e4f114f020db",
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"Pk2": "",
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"status": "invalid_public_key1",
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"comment": ""
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|
},
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|
{
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|
"Id": 21,
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|
"Pk1": "130c94af0b0c4552dfa7a0e8a8e31151fd12052e5a7840c21606f05c253ed971c4d324b36d4e6cd98f93635b16489cc62ed293b1716c4869658b85cc02011441",
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"Pr1": "3552e0e421250022012fb4e4e1d14cb2c53bbc1bcd010d30bff0c4d42fb1b333bb143b4fe3",
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"Pk2": "",
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"Ss": "",
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|
"status": "invalid_public_key1",
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|
"comment": ""
|
|
},
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|
{
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|
"Id": 22,
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|
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "95523424cd589421b224d742b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
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"status": "invalid_public_key2",
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"comment": ""
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|
},
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{
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|
"Id": 23,
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
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"status": "invalid_public_key2",
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"comment": ""
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|
},
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{
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|
"Id": 24,
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|
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "c7521024cd589421b224d742b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
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|
"status": "invalid_public_key2",
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|
"comment": ""
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|
},
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{
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|
"Id": 25,
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|
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "c75234e9cd589421b224d742b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
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|
"status": "invalid_public_key2",
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|
"comment": ""
|
|
},
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|
{
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|
"Id": 26,
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|
"Pk1": "bfbd184a2e193b5c4535bceecfd8443cc562ff95bf7e351e9c3f0ae35d0c163239310156bc5584072cf19024d1dea7c7a40bb4af366b46465c3bce02f999654c",
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "c752342495589421b224d742b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
|
|
"status": "invalid_public_key2",
|
|
"comment": ""
|
|
},
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|
{
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|
"Id": 27,
|
|
"Pk1": "bfbd184a2e193b5c4535bceecfd8443cc562ff95bf7e351e9c3f0ae35d0c163239310156bc5584072cf19024d1dea7c7a40bb4af366b46465c3bce02f999654c",
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "c7523424cdcc9421b224d742b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
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|
"status": "invalid_public_key2",
|
|
"comment": ""
|
|
},
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|
{
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|
"Id": 28,
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|
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"status": "invalid_public_key2",
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|
"comment": ""
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|
},
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{
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|
"Id": 29,
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "c7523424cd589493b224d742b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"status": "invalid_public_key2",
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|
},
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{
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|
"Id": 30,
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"status": "invalid_public_key2",
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|
},
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{
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|
"Id": 31,
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|
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"status": "invalid_public_key2",
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|
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|
},
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{
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|
"Id": 32,
|
|
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
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"status": "invalid_public_key2",
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|
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|
},
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{
|
|
"Id": 33,
|
|
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"Pr1": "ec34443ef230d3b1cbdfdb5c24cded13e2f1c13fddee442ffbb22bb1334e545ee100220e54",
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"Pk2": "c7523424cd589421b224d7f5b7d39ecb6229edd92f12e88f97aed80b20dd9caeca3e31bddcf96674396753a56226a5cd53e4481af8d8ee3ac17d558088c6d534",
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"Ss": "69196c279c5a7cbcbbf443509e422d363f0c2e0811b4a741869ee143f5d48117a54deea7c152e9371d1d190fcde44a6c32df27c859e2ed27981aa37f24feb73d",
|
|
"status": "invalid_public_key2",
|
|
"comment": ""
|
|
}
|
|
]
|
|
} |